If there are 100 men per city block and 2000 blocks in the city, how many men are in the city?

Luis, using appropriate safety precautions, fires a .22 caliber gun directly into the sky above him. The bullet travels at a spe

Tanya [424]

The equation represents height as a function of time.

The bullet was in the air for 75 seconds.

The equation is given as:

$h(t) = -16t^2 + 1200t$

The time spent in the air is the time it takes the bullet to land on the ground.

When the bullet is on the ground, the height is:

$h(t) = 0$

So, we have:

$h(t) = -16t^2 + 1200t$

$-16t^2 + 1200t = 0$

Factor out t

$t(-16t + 1200) = 0$

Split

$t = 0$ or $-16t + 1200 = 0$

$t = 0$ represents when the shot is fired.

So, we solve for t in $-16t + 1200 = 0$

Collect like terms

$16t = 1200$

Divide both sides by 16

$t = 75$

Hence, the bullet was in the air for 75 seconds

Read more about height and time at:

brainly.com/question/2261757

5 0

2 years ago

Plz help ASAP plz I will mark brainlest

ololo11 [35]

Answer:

(a) HI

(b) GJ

(c) KL

(d) 2 units

Step-by-step explanation:

For d, I divided 4 by 2 because a radius is half of the diameter

7 0

3 years ago

Read 2 more answers

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nevsk [136]

Answer:

x = 2 and x = 4

Step-by-step explanation:

The solution of the given equation is shown on the graph

There are two intercepts with coordinates of

(2, 2) and (4, -22)

The x-coordinates are

x= 2 and x= 4

Correct option is 3 or C.

7 0

4 years ago

Read 2 more answers

Solve the system using substitution: x = -4y and x + 5y = 2 Please and thank you.

Novay_Z [31]

Answer:

x = - 8, y = 2

Step-by-step explanation:

$x = - 4y......(1) \\ x + 5y = 2....(2) \\ plug \: x = - 4y \: in \: equation \: (2) \\ - 4y + 5y = 2 \\ y = 2 \\ plug \: y = 2 \: in \: equation \: (1) \\ x = - 4(2) \\ x = - 8\\$

7 0

3 years ago

I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

NemiM [27]

Answer:

$- (x - 1) {}^{2} + 5$

Step-by-step explanation:

F(x) is a transformation from h(x).

So our starting equation is

$- (x - 1) {}^{2} - 1$

F(x) is also facing the same direction h(x) is so we dont have to reflect nothing across the x or y axis.

There isn't a vertical or horizontal stretch, compressions.

There isn't a horizontal shift as the x values stay in the same place.

There is a vertical shift. We can simply move h(x) up 6 units to get to f(x).

So our equation looks like.

$- (x - 1) {}^{2} + 5$

8 0

3 years ago